<i>TT</i>-Deformations of CFT and Gravity Duals

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Other Title
  • 共形場理論の<i>TT</i>-変形と重力双対
  • 共形場理論のTT-変形と重力双対
  • キョウケイジョウ リロン ノ TT-ヘンケイ ト ジュウリョク ソウツイ

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Abstract

<p>This article gives a short review of the recent progress on TT-deformation of quantum field theories in two dimensions, starting from the pioneering work by Alexander Zamolodchikov in 2004.4) The TT-operator defined as the determinant of the energy-momentum tensor has some specific properties such as the factorization of the expectation values 4) and the TT-flow equation.6, 7) In particular, at the classical level, the TT-deformation of the set of free massless scalar fields is the Nambu–Goto action describing the classical dynamics of a string in flat space.6) Furthermore, the energy spectrum of the TT-deformed conformal field theory (CFT) on an infinitely long cylinder is governed by a two-dimensional inviscid Burgers equation obtained as the expectation value of the flow equation.6, 7) Among various topics on theTT-deformation, this article introduces some fundamental and significant progress by focusing on gravity duals of TT-deformed CFT.9, 11, 15)</p>

Journal

  • Butsuri

    Butsuri 76 (3), 130-139, 2021-03-05

    The Physical Society of Japan

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